Exercise 12 Page 626

The area of a trapezoid is one half the product of its height and the sum of its bases. In the given diagram, we can see that the lengths of the bases are 24.3 and 9.7 centimeters and the height is 8.5 centimeters.

Since we have the height and the lengths of the bases, we can substitute them into the formula for the area of a trapezoid.

A=1/2h(b_1+b_2)

SubstituteValues

Substitute values

A=1/2(8.5)( 24.3+9.7)

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Evaluate right-hand side

AddTerms

Add terms

A=1/2(8.5)(34)

MoveRightFacToNumOne

1/b* a = a/b

A=(8.5)(34)/2

ReduceFrac

a/b=.a /2./.b /2.

A=(8.5)(17)

Multiply

Multiply

A=144.5

The area of the trapezoid is 144.5cm^2.